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21211121022112 = 2573791361183577
BaseRepresentation
bin1001101001010100110010…
…10101010111010010100000
32210002202121111100002000001
410310222121111113102200
510240010333440201422
6113040130544505344
74316311231606630
oct464523125272240
983082544302001
1021211121022112
11683864993169a
122466a3561b254
13bab27a8ba2a8
145348a375a6c0
1526bb3b069227
hex134a995574a0

21211121022112 has 96 divisors (see below), whose sum is σ = 47886365358720. Its totient is φ = 9059784007680.

The previous prime is 21211121022101. The next prime is 21211121022127. The reversal of 21211121022112 is 21122012111212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21211121022112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115451668 + ... + 115635244.

It is an arithmetic number, because the mean of its divisors is an integer number (498816305820).

Almost surely, 221211121022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211121022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943182679360).

21211121022112 is an abundant number, since it is smaller than the sum of its proper divisors (26675244336608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211121022112 is a wasteful number, since it uses less digits than its factorization.

21211121022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185334 (or 185326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21211121022112 its reverse (21122012111212), we get a palindrome (42333133133324).

The spelling of 21211121022112 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 379 758 1361 1516 2653 2722 3032 5306 5444 6064 9527 10612 10888 12128 19054 21224 21776 38108 42448 43552 76216 84896 152432 183577 304864 367154 515819 734308 1031638 1285039 1468616 2063276 2570078 2937232 3610733 4126552 5140156 5874464 7221466 8253104 10280312 14442932 16506208 20560624 28885864 41121248 57771728 69575683 115543456 139151366 249848297 278302732 487029781 499696594 556605464 974059562 999393188 1113210928 1748938079 1948119124 1998786376 2226421856 3497876158 3896238248 3997572752 6995752316 7792476496 7995145504 13991504632 15584952992 27983009264 55966018528 94692504563 189385009126 378770018252 662847531941 757540036504 1325695063882 1515080073008 2651390127764 3030160146016 5302780255528 10605560511056 21211121022112